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On classes of maps which preserve finitisticness |
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| Authors: | Akira Koyama Manuel A Moron |
| Institution: | Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan ; Unidad Dovente de Matematicas, E. T. S. I. Montes, Universidad Polit{' t}ecnica, 28040, Madrid, Spain |
| Abstract: | We shall prove the following:  Let  be a refinable map between paracompact spaces. Then  is finitistic if and only if  is finitistic.  Let  be a hereditary shape equivalence between metric spaces. Then if  is finitistic,  is finitistic. |
| Keywords: | Finitistic spaces refinable maps c-refinable maps hereditary shape equivalences extension dimension cohomological dimension |
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